Yes, you might be able to claim this as a childcare expense, provided that the person who cared for your child was not:
This Canada Revenue Agency (CRA) page has more information on what you can claim as a childcare expense: Line 21400 - What payments can you claim?
The woman who is taking care of your child should report the money you give her. She can report it as Line 10400 – Other employment income (Employment income not reported on a T4 slip).
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